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13222125 = 325372373
BaseRepresentation
bin110010011100…
…000011101101
3220212202100100
4302130003231
511341102000
61151221313
7220246320
oct62340355
926782310
1013222125
117510a84
124517839
13297c357
141a827b7
151262a00
hexc9c0ed

13222125 has 96 divisors (see below), whose sum is σ = 28813824. Its totient is φ = 5702400.

The previous prime is 13222123. The next prime is 13222127. The reversal of 13222125 is 52122231.

13222125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13222123) and next prime (13222127).

It is not a de Polignac number, because 13222125 - 21 = 13222123 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13222098 and 13222107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181089 + ... + 181161.

It is an arithmetic number, because the mean of its divisors is an integer number (300144).

Almost surely, 213222125 is an apocalyptic number.

13222125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13222125 is an abundant number, since it is smaller than the sum of its proper divisors (15591699).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13222125 is a wasteful number, since it uses less digits than its factorization.

13222125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 13222125 is about 3636.2240030009. The cubic root of 13222125 is about 236.4651185841.

Adding to 13222125 its reverse (52122231), we get a palindrome (65344356).

The spelling of 13222125 in words is "thirteen million, two hundred twenty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 73 75 105 115 125 161 175 207 219 225 315 345 365 375 483 511 525 575 657 805 875 1035 1095 1125 1449 1533 1575 1679 1725 1825 2415 2555 2625 2875 3285 4025 4599 5037 5175 5475 7245 7665 7875 8395 8625 9125 11753 12075 12775 15111 16425 20125 22995 25185 25875 27375 35259 36225 38325 41975 58765 60375 63875 75555 82125 105777 114975 125925 176295 181125 191625 209875 293825 377775 528885 574875 629625 881475 1469125 1888875 2644425 4407375 13222125